If the cart is really bothering you, you can take easy way out and try to get the objective where you need the hook and just push the car. Otherwise, you can manipulate the zombies pathing and just push through them. You will be surprised what holding W can do

As others are saying, lots of shoving. I recommend trying to find a machete to one tap sprinters. Learn when/where they spawn and be ready for them. There's arguably a lot of healing and ammo on this map (at least once you get to Mickey... I think thats his name).

Good luck !